On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ℝd
We study a stochastic partial differential equation in the whole space x∈ℝd, with arbitrary dimension d≥1, driven by fractional noise and a pure jump Lévy space-time white noise. Our equation involves a fractional derivative operator. Under some suitable assumptions, we establish the existence and u...
Main Authors: | Xichao Sun, Zhi Wang, Jing Cui |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2014-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/758270 |
Similar Items
-
Stochastic Fractional Heat Equations Driven by Fractional Noises
by: Xichao Sun, et al.
Published: (2015-01-01) -
Weak Convergence for a Class of Stochastic Fractional Equations Driven by Fractional Noise
by: Xichao Sun, et al.
Published: (2014-01-01) -
Moderate Deviations for Stochastic Fractional Heat Equation Driven by Fractional Noise
by: Xichao Sun, et al.
Published: (2018-01-01) -
A white noise approach to stochastic partial differential equations driven by the fractional Lévy noise
by: Xuebin Lü, et al.
Published: (2018-11-01) -
Regularity of a Stochastic Fractional Delayed Reaction-Diffusion Equation Driven by Lévy Noise
by: Tianlong Shen, et al.
Published: (2013-01-01)